what are the four algebraic processes and define each process with an example

Question

What are the four algebraic processes. Define each process and provide example please.

 

Answer 1

1. Simplify

[(x²+2x-3)]/[(x+3)(x-3)]=10+y²+2y-4y+8-2y²
The right side requires simplification in that we need to combine like terms.
[(x²+2x-3)]/[(x+3)(x-3)]=10 + y² + 2y - 4y +8 - 2y²
[(x²+2x-3)]/[(x+3)(x-3)]=(-2y²+y²)+(2y-4y)+(10+8)
[(x²+2x-3)]/[(x+3)(x-3)]= - y² - 4y + 18
It is now simplified.

 

2. Factor

The numerator (x² + 2x - 3) of the left side can be factored...
[(x+3)(x-1)]/[(x+3)(x-3)]=-y²-4y+18
[(x+3)(x-1)]/[(x+3)(x-3)]=-y²-4y+18 [The (x+3) on the numerator and the denominator cancel each other out.]
(x-1)/(x-3)=-y²-4y+18
It is now factored.

 

3. Evaluate

We can evaluate the fact that in its original form, the domain can include all integers except -3 and 3.
In its current form, the domain can include all integers except 3.

 

4. Solve

Graph the results.